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Zhaonan Dong
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2020 – today
- 2024
- [i16]Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert:
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. CoRR abs/2401.12921 (2024) - [i15]Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp:
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR abs/2403.15858 (2024) - [i14]Zhaonan Dong, Alexandre Ern:
hp-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes. CoRR abs/2410.02540 (2024) - 2023
- [j10]Zhaonan Dong
, Moritz Hauck
An Improved High-Order Method for Elliptic Multiscale Problems. SIAM J. Numer. Anal. 61(4): 1918-1937 (2023) - [j9]Andrea Cangiani
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes. SIAM J. Numer. Anal. 61(5): 2352-2380 (2023) - [i13]Zhaonan Dong, Lorenzo Mascotto:
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes. CoRR abs/2310.13564 (2023) - 2022
- [j8]Zhaonan Dong
Robust Interior Penalty Discontinuous Galerkin Methods. J. Sci. Comput. 92(2): 57 (2022) - [j7]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Math. Comput. 91(333): 1-35 (2022) - [j6]Zhaonan Dong
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem. SIAM J. Numer. Anal. 60(5): 2626-2656 (2022) - [i12]Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond:
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. CoRR abs/2201.01708 (2022) - [i11]Zhaonan Dong, Alexandre Ern:
C0-hybrid high-order methods for biharmonic problems. CoRR abs/2206.07074 (2022) - [i10]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. CoRR abs/2208.08685 (2022) - [i9]Zhaonan Dong, Moritz Hauck, Roland Maier:
An improved high-order method for elliptic multiscale problems. CoRR abs/2211.02484 (2022) - [i8]Zhaonan Dong, Lorenzo Mascotto:
hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. CoRR abs/2212.03735 (2022) - 2021
- [j5]Zhaonan Dong
Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem. SIAM J. Numer. Anal. 59(3): 1273-1298 (2021) - [j4]Zhaonan Dong
GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes. SIAM J. Sci. Comput. 43(4): C312-C334 (2021) - [i7]Zhaonan Dong, Lorenzo Mascotto:
On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems. CoRR abs/2101.03390 (2021) - [i6]Zhaonan Dong, Alexandre Ern:
Hybrid high-order and weak Galerkin methods for the biharmonic problem. CoRR abs/2103.16404 (2021) - [i5]Zhaonan Dong, Emmanuil H. Georgoulis:
Robust interior penalty discontinuous Galerkin methods. CoRR abs/2108.02642 (2021) - [i4]Zhaonan Dong, Alexandre Ern:
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. CoRR abs/2108.08348 (2021) - 2020
- [i3]Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas:
GPU-accelerated discontinuous Galerkin methods on polytopic meshes. CoRR abs/2007.04881 (2020) - [i2]Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton:
Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem. CoRR abs/2009.14140 (2020)
2010 – 2019
- 2019
- [j3]Zhaonan Dong
On the exponent of exponential convergence of p-version FEM spaces. Adv. Comput. Math. 45(2): 757-785 (2019) - [i1]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
hp-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. CoRR abs/1906.01715 (2019) - 2018
- [j2]Zhaonan Dong
A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. Comput. Math. Appl. 76(8): 1950-1965 (2018) - 2017
- [j1]Andrea Cangiani
hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes. SIAM J. Sci. Comput. 39(4) (2017)
Coauthor Index
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